1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Setler [38]
3 years ago
10

If any problem involving circular motion, which way does the acceleration vector point ?

Physics
1 answer:
KIM [24]3 years ago
4 0

Answer:

The acceleration vector always points towards the centre of the motion. This is referred to as centripetal acceleration. It accounts for the centripetal force that tends to pull the object in circular motion towards the centre of motion.

Consider the diagram below;

it illustrates a body in circular motion along the black circle, with the acceleration vector a shown by the orange arrow pointing towards the centre of motion and the velocity vector v shown by the green arrow pointing tangentially away from the circumference.

You might be interested in
A 4.67-g bullet is moving horizontally with a velocity of +357 m/s, where the sign + indicates that it is moving to the right (s
Leni [432]

Answer:

(a)0.531m/s

(b)0.00169

Explanation:

We are given that

Mass of bullet, m=4.67 g=4.67\times 10^{-3} kg

1 kg =1000 g

Speed of bullet, v=357m/s

Mass of block 1,m_1=1177g=1.177kg

Mass of block 2,m_2=1626 g=1.626 kg

Velocity of block 1,v_1=0.681m/s

(a)

Let velocity of the second block  after the bullet imbeds itself=v2

Using conservation of momentum

Initial momentum=Final momentum

mv=m_1v_1+(m+m_2)v_2

4.67\times 10^{-3}\times 357+1.177(0)+1.626(0)=1.177\times 0.681+(4.67\times 10^{-3}+1.626)v_2

1.66719=0.801537+1.63067v_2

1.66719-0.801537=1.63067v_2

0.865653=1.63067v_2

v_2=\frac{0.865653}{1.63067}

v_2=0.531m/s

Hence, the  velocity of the second block after the bullet imbeds itself=0.531m/s

(b)Initial kinetic energy before collision

K_i=\frac{1}{2}mv^2

k_i=\frac{1}{2}(4.67\times 10^{-3}\times (357)^2)

k_i=297.59 J

Final kinetic energy after collision

K_f=\frac{1}{2}m_1v^2_1+\frac{1}{2}(m+m_2)v^2_2

K_f=\frac{1}{2}(1.177)(0.681)^2+\frac{1}{2}(4.67\times 10^{-3}+1.626)(0.531)^2

K_f=0.5028 J

Now, he ratio of the total kinetic energy after the collision to that before the collision

=\frac{k_f}{k_i}=\frac{0.5028}{297.59}

=0.00169

5 0
2 years ago
A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potentialenergy func
OlgaM077 [116]

Answer:

A= 148.92  m/s²

Explanation:

Given that

U(x,y) = (6.00  )x²  - (3.75  )y ³

m= 0.04 kg

Now force in the x-direction

Fx= - dU/dx

U(x,y) = (6.00  )x²  - (3.75  )y ³

dU/dx= 12 x

When x=0.4 m

dU/dx= 12 x 0.4 = 4.8

So we can say that

Fx= - 4.8 N

From Newtons law

F= m a

- 4.8 = 0.04 x a

a = -120 m/s²

Acceleration in x direction ,a = -120 m/s²

In y -direction

F= - dU/dy

U(x,y) = (6.00  )x²  - (3.75  )y ³

dU/dy = 0 - 3.75 x 3 y²

When y = 0.56 m

dU/dy = - 3.75 x 3 x 0.56 x 0.56

dU/dy = - 3.52

So we can say that force in y -direction

F= 3.52 N

F= m a'

3.52 = 0.04 x a'

a'=88.2 m/s²

acceleration in y direction is 88.2 m/s²

The resultant acceleration

A=\sqrt{a^2+a'^2}

A=\sqrt{120^2+88.2^2}

A= 148.92  m/s²

7 0
3 years ago
If you had started with a larger mass, how would the half-life change?
iogann1982 [59]

Answer:

There is no change, unless your mass is somehow at the quantum level, at which the concept of half-life breaks down.

Half life is a property of the specific radioactive isotope...NOT of the initial sample's mass.

3 0
2 years ago
When sedimentary rock is exposed to heat and pressure, what does it change into?
patriot [66]
Metamorphic rock this possess often occurs in the mantle
7 0
3 years ago
What is the difference between compound, element and mixture?
defon
Compound; consists of atoms of two or more different elements bound together,can be broken down into a simpler type of matter (elements) by chemical means (but not by physical means) has properties that are different from its component elements, and always contains the same ratio of its component atoms.Mixtures; Note that a mixture:consists of two or more different elements and/or compounds physically intermingled, can be separated into its components by physical means, and often retains many of the properties of its components.
4 0
3 years ago
Other questions:
  • An electric motor is traversed by 3.10²º electrons in 6 seconds. Determine the intensity of the current passing through the moto
    6·1 answer
  • Where does every piece of matter begin?
    11·1 answer
  • A particle is being accelerated through space by a 10 N force. Suddenly the particle encounters a second of 10 N force in the op
    6·1 answer
  • HELP ASAP PLEASE!!!!!!!
    6·1 answer
  • What is the work done by 20 Newton force applied at an angle of 45.0° to move a box a horizontal distance of 40 meters
    5·2 answers
  • The outer surface of the cardboard center of a paper towel roll: a. cannot be a Gaussian surface since it is an insulator. b. is
    10·1 answer
  • Whats the term for climate near equator
    11·2 answers
  • What is the tangential speed of a point on a wheel of a car if the point is located 0.114 m from the axis of rotation; and the w
    12·1 answer
  • Kayla and her friends are setting up chairs for a school play each row will contain the same number of chairs Kayla knows that t
    11·1 answer
  • Owen is going on a multi-day hike up a large mountain. He wants to know what clothes he should bring for the higher elevation as
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!